Find the opposite of a triangle with hypotenuse 13cm and adjacent 5cm
The opposite side is the side of the triangle that is opposite the angle being referenced. In this case, the hypotenuse is the side opposite the right angle. Therefore, the opposite side refers to the side that is not the hypotenuse.
To find the opposite side, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let the length of the opposite side be x cm.
Using the Pythagorean Theorem:
x^2 + 5^2 = 13^2
x^2 + 25 = 169
x^2 = 169 - 25
x^2 = 144
x = √144
x = 12 cm
Therefore, the opposite side of the triangle is 12 cm.
To find the opposite side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Let's use this theorem to solve the problem.
The hypotenuse is 13 cm, and the adjacent side is 5 cm.
Using the Pythagorean theorem,
hypotenuse^2 = opposite^2 + adjacent^2
13^2 = opposite^2 + 5^2
169 = opposite^2 + 25
Subtracting 25 from both sides,
144 = opposite^2
Taking the square root of both sides,
√144 = √(opposite^2)
12 = opposite
Therefore, the opposite side of the triangle is 12 cm.